question 7  Plz provide hand written answer

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 50E
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question 7 

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8
7.
For each integern2 1, let P(n) be the following equation
n+1
Si 2 = n2"+2+2.
i=1
71+1
Note that the left had side of the equation is
i:2 = 1-2+2-22+3-2°+ +n-2" +(n+1)2"+1
.3B
(a) Write P(1). Is P(1) true?
(b) Use mathematical induction to prove that P(n) holds true for all integers n > 1.
Transcribed Image Text:8 7. For each integern2 1, let P(n) be the following equation n+1 Si 2 = n2"+2+2. i=1 71+1 Note that the left had side of the equation is i:2 = 1-2+2-22+3-2°+ +n-2" +(n+1)2"+1 .3B (a) Write P(1). Is P(1) true? (b) Use mathematical induction to prove that P(n) holds true for all integers n > 1.
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